97 citations · 463 across the 68 of their papers we have counts for
5 papers · 1 filter
Perturbations of Christoffel-Darboux kernels. I: detection of outliers
Bernhard Beckermann, Mihai Putinar, Edward B. Saff +1
Two central objects in constructive approximation, the Christoffel-Darboux kernel and the Christoffel function, are encoding ample information about the associated moment data and…
Inverse Potential Problems for Divergence of Measures with Total Variation Regularization
Laurent Baratchart, Cristobal Villalobos Guillen, Douglas P. Hardin +2
We study inverse problems for the Poisson equation with source term the divergence of an -valued measure, that is, the potential satisfies $$ ΔΦ= \text{div} \bold…
Energy Bounds for Codes in Polynomial Metric Spaces
Peter Boyvalenkov, Peter Dragnev, Douglas Hardin +2
In this article we present a unified treatment for obtaining bounds on the potential energy of codes in the general context of polynomial metric spaces (PM-spaces). The lower bound…
Asymptotic Linear Programming Lower Bounds for the Energy of Minimizing Riesz and Gauss Configurations
Douglas P. Hardin, Timothy J. Michaels, Edward B. Saff
Utilizing frameworks developed by Delsarte, Yudin and Levenshtein, we deduce linear programming lower bounds (as ) for the Riesz energy of -point configurations on…
On spherical codes with inner products in a prescribed interval
P. G. Boyvalenkov, P. D. Dragnev, D. P. Hardin +2
We develop a framework for obtaining linear programming bounds for spherical codes whose inner products belong to a prescribed subinterval of . An intricate rela…